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Finding the Fourth Proportional to 107,146.49, 160,703.94 and 28,266.26

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Solution

The fourth proportional to 107,146.49, 160,703.94 and 28,266.26 is: 42,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,146.49 : 160,703.94 = 28,266.26 : x
  2. Step 2: Convert to fraction form
    107,146.49/160,703.94 = 28,266.26/x
  3. Step 3: Cross multiply
    107,146.49x = 160,703.94 × 28,266.26
  4. Step 4: Simplify right side
    107,146.49x = 4,542,499,351.06
  5. Step 5: Solve for x
    x = 4,542,499,351.06/107,146.49
  6. Step 6: Final answer
    x = 42,395.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.